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arXiv 1607.07152hep-thhep-ph
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环面额外维上存在膜定域质量时的谱

Spectrum in the presence of brane-localized mass on torus extra dimensions

Yutaka Sakamura

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21 pages, 13 figures, published version in JHEP
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摘要：

在存在膜定域质量项的情况下，数值计算了环面上紧化的六维理论的最轻质量本征值。即使当$Λ$比紧化尺度高出两个数量级时，对截断尺度$Λ$的依赖性也是不可忽略的，这表明与五维理论相反，质量本征值对膜的大小很敏感。我们得到了一个近似的最轻的质量在薄膜极限，这很好地符合数值计算，并澄清了它的依赖于环面模量参数$τ$。我们发现，即使在大膜质量的极限下，最轻的质量通常比紧化尺度轻一个数量级。

英文摘要：

The lightest mass eigenvalue of a six-dimensional theory compactified on a torus is numerically evaluated in the presence of the brane-localized mass term. The dependence on the cutoff scale $Λ$ is non-negligible even when $Λ$ is two orders of magnitude above the compactification scale, which indicates that the mass eigenvalue is sensitive to the size of the brane, in contrast to five-dimensional theories. We obtain an approximate expression of the lightest mass in the thin brane limit, which well fits the numerical calculations, and clarifies its dependence on the torus moduli parameter $τ$. We find that the lightest mass is typically much lighter than the compactification scale by an order of magnitude even in the limit of a large brane mass.

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